We present here an extended example providing the general idea of the model.
We continue to adopt an intuition related to  the insights presented in Section  and to the daily experience of everyone in the academic profession, but it is clear that it can easily be extended to R&D between firms that are competing in a market, as in the model of [1]}.
Consider a world where there are \(n\)  homogeneous scientific authors, each trying to form teams of collaborators and each with a common time constraint \(w\) .
They all have two goals: a good output in terms of publications (on which they compete with colleagues), but also the objective of doing good research that can provide advancements in the field.
Each author maximizes in each project both the probability of being published and the probability of authoring a good idea.
We assume no constraint on the multi-matching technology \(P\) , except for the fact that agents cannot work alone: \(p \in P\)  if and only if \(|n(p)| \ge 2\) .
